A BS in aviation management is still a BS so it checks the box. That said, it doesn’t leave you with a backup plan should you be unable to complete your ratings for any number of reasons.
If I were you, I’d talk to a counselor at your school and take the handful of classes it will take to get a straight management degree while you’re flight training.
I’ve got a BS in AVM and consider it to be almost worthless outside of aviation.